How do I convert a repeating decimal to a fraction?

This calculator handles terminating decimals directly. Repeating decimals (like 0.333...) require a different algebraic method to find their exact fractional form.

Which format should I use for calculations?

Decimals are usually easiest for calculator/computer math, fractions are exact and useful for measurements, and percentages are the clearest way to communicate proportions to people.

Fraction to Decimal to Percent Converter

Convert instantly between fractions, decimals, and percentages — enter a value in any format and see it in the other two.

I have aDecimal

Fraction

1/4

Decimal

0.25

Percentage

25%

How It Works

Fraction to decimal to percent

A fraction converts to a decimal by dividing the numerator by the denominator. A decimal converts to a percent by multiplying by 100.

Decimal or percent back to a fraction

A decimal is converted to a fraction by writing it over the appropriate power of 10 (based on its decimal places), then simplifying to lowest terms.

Example Calculation

1/4 = 0.25 = 25%. Going the other way, 0.6 = 60% = 3/5 in simplest form.

Common Mistakes

Forgetting to multiply (or divide) by 100 when converting between decimals and percentages.
Leaving a converted fraction unsimplified instead of reducing it to lowest terms.

Frequently Asked Questions

How do I convert a repeating decimal to a fraction?: This calculator handles terminating decimals directly. Repeating decimals (like 0.333...) require a different algebraic method to find their exact fractional form.
Which format should I use for calculations?: Decimals are usually easiest for calculator/computer math, fractions are exact and useful for measurements, and percentages are the clearest way to communicate proportions to people.